A bag contains 6 red, 3 black and 6 white balls. A ball is selected at random from the bag, what is the probability that the selected ball is not red?

Monjur Alahi

A bag contains 6 red, 3 black and 6 white balls. A ball is selected at random from the bag, what is the probability that the selected ball is not red?

A) 3/5

B) 6/5

C) 2/15

D) 1/5


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Salim Ahmed Kawsar

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Correct option is: A) \(\frac{3}{5}\)

There are 6 red, 3 black and 6 white balls.

\(\therefore\) Total number of balls = 6 + 3 + 6 = 15.

Number of balls which are not red = 3 + 6 = 9.

\(\therefore\) Probability that selected ball is not red.

= \(\frac {Total \,number \,of \,balls \,which\, are\, not \,red}{Total \,number \,of \,balls \,in\, the \,bag}\) = \(\frac 9{15} = \frac 35\)

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